Which of the following equations represents a proportional relationship? A. x=2.9 B. x+y=2.9 C. y=2.5/x D. y/x=2.5
Answers
The equation that represents a proportional relationship is y/X = 2.5. That is option D.
What is proportional relationship?A proportional relationship is the type of relationship that exist when between two variables which can be represented as y and x where a constant of proportionality exists between the two variables as k.
The relationship between these two variables can either be directly proportional or indirectly proportional.
The relationship that exists between X and y is a direct proportional relationship with a constant of proportionality of 2.5.
y = 2.5 X
= y/X = 2.5. Where 2.5 is the constant.
Learn more about direct proportional relationship here:
https://brainly.com/question/29712950
#SPJ1
Related Questions
Which statement about the polygons is true?
Answers
Based on the given polygon, the true statement on the polygons is that Polygon A is similar to Polygon B because Polygon B is a rotation of Polygon A.
How are the polygons related?Polygon A is related to Polygon B because to create Polygon B, Polygon A was dilated.
When a polygon is dilated, it means that it is either made to be larger in size, or smaller in size. In this case, Polygon A was made to be larger in size to create polygon B.
Find out more on dilations at https://brainly.com/question/3457976
#SPJ1
8(4x+6) -58 = 2(7x+31) helpppppppppppppppp
Answers
Step-by-step explanation:
8(4x+6) -58 = 2(7x+31)
32x + 48 - 58 = 14x + 62
32x -10 = 14x +62
32x - 14x = 62+10
18 x = 72
x = 72 /18
x = 4
plz mark my answer as brainlist plzzzz vote me also so ....plzzzz
the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store?
Answers
For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.
Probability is a measure of the likelihood that an event will occur.
Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it.The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.
Let, X be the random variable denoting the number of shoppers on a random day.
Then, X follows normal with mean 505 and standard deviation of 115.
Then, we can say that,
Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.
We have to find
P (250 <X< 450)
= P {(250-505)/155} < Z < {(450-505)/155}
= P (-1.64 <Z< -0.03)
Where, Z is the standard normal variate.
ρ = -1.64 <ρ< -0.03
Where, ρ is the distribution function of the standard normal variate.
From the standard normal table, this becomes
=0.00585
For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.
To know more about probability,
https://brainly.com/question/18849307
#SPJ4
f (x) = 13\(\sqrt[3]{x}\) power function yes or no
if yes where is k and p
Answers
Answer:
f =
x = 13 = x
k = x
p = x
Step-by-step explanation:
Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
Answers
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
Learn more about partial derivatives here:
https://brainly.com/question/32387059
#SPJ11
The dimensions of rectangular box are 4.4 inches, 5.6 inches, and 8 2 inches what is the surface area
Answers
Answer:
213.28 in^2
Step-by-step explanation:
surface area = 2(LW + LH + WH)
surface area = 2[(4.4 in)(5.6 in) + (4.4 in)(8.2 in) + (5.6 in)(8.2 in)]
surface area = 213.28 in^2
The total linear momentum of a truck of mass 5000 kg that is
moving at a speed of 30 m/s and a car of mass 1000 kg that is
moving at a speed of 20 m/s is kg m/s,
Answers
Answer: 170,000 kg m/s
Step-by-step explanation:
1. Find all the real square roots of 0.0036. (1 po
0.06 and -0.06
0.0018 and -0.0018
0.1897 and -0.1897
0.6 and -0.6
Answers
The real square roots of 0.0036 will be A 0.06 and -0.06.
What are square root?The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."
It should be noted that this is a component of a number that yields the original number when multiplied by itself
The square root will be illustrated as:
= ✓0.0036
= 0.06 and -0.06
Therefore, the correct option is A.
Learn more about square root on:
https://brainly.com/question/3617398
#SPJ1
In solving the beam equation, you determined that the general solution is X. y = = 1/2x^4 - 1/6q₁ x^3 + 1/2 x. Given that y'' (1) = 3 determine q1 ₁
Answers
We have the general solution of the beam equation: y = 1/2 x⁴ - (1/6)q₁ x³ + (1/2) x
Given that y'' (1) = 3
So we can find the second derivative of y: y' = 2x³ - (1/2)q₁x² + (1/2)and y'' = 6x² - q₁x
Therefore, y''(1) = 6 - q₁
From the given information: y''(1) = 3
Putting this value into the above equation:3 = 6 - q₁=> q₁ = 6 - 3=> q₁ = 3
The value of q₁ is 3.
To know more about derivative visit :
https://brainly.com/question/30466081
#SPJ11
The sum of the angles of all the sectors in a pie chart should add up to ???
a). 180⁰
b). 90⁰
c). 360⁰
Answer me please ...
Answers
Answer:
C
Step-by-step explanation:
Since the sectors all meet at the centre of the circle, then
The angles around a point sum to 360° → A
90°... See More
https//90°.com
Problem 16-05 To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3300, and the average first-year commission for each new account opened is $5100. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar. Profit = (New Accounts Opened × $ 5100 ) – $ 3300 What type of random variable is the number of new accounts opened
Answers
Answer:
1) The equation for computing Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
2) The number of new accounts is a continuous random variable
Step-by-step explanation:
1) The number of individuals that attend each of Gustin's seminar = 25 individuals
The cost of each seminar = $3,300
On average the commission on the first-year for each opened account = $5,100
The probability of opening an account by an attendee of each seminar = 0.01
The profit = Revenue - The cost of each seminar
The revenue = (The number of Newly Opened Accounts) × (Commission on each account)
∴ The revenue = (The number of Newly Opened Accounts) × $5100
Therefore, the equation for finding Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
The profit = (The number of Newly Opened Accounts) × $5100 - $3,300
The number of Newly Opened Accounts = (The number of attendee) × (The probability of an attendee opening an account)
The number of Newly Opened Accounts = 25 × 0.01 = 0.25
The number of Newly Opened Accounts = 0.25
The profit = 0.25 × $5100 - $3,300
The revenue = 0.25 × $5100 = $1,275
The profit = $1,275 - $5,100 = -$3,825 = ($3,825)
2) The number of Newly Opened Accounts = 0.25 which gives, that Gustin has to conduct 4 seminars to be sure of 1 new account, which represents a probabilistic variable which is the definition of a continuous random variable.
Therefore, the number of new accounts is a continuous random variable.
PLEASE HELP ASAP!! THANK YOU
EXPLANATION = BRAINLIEST & 5 STARS
From the library, one car heads north, and another heads east. Some time later, the northbound car has traveled 17 miles, and the eastbound train has traveled 144 miles. The two cars, measured in a straight line, are ___ miles apart.
Answers
Ann earned $3 an hour for babysitting and $4 an hour for gardening. If she worked 5 hours babysitting and 3 hours gardening. How much money will she have made in the week?
Answers
Answer: 3 multiplied by 5 = 15 4 multiplied by 3 = 12
Step-by-step explanation:
15+12=27 please pick brainliest.
How do you write $2.67 in fraction form?
Answers
Answer:
267/100
Step-by-step explanation:
Hope this helps! :)
Two friends visited a taffy shop. Annie bought 9 pounds of strawberry taffy and 10 pounds of banana taffy for $103. Next, Rob bought 9 pounds of strawberry taffy and 9 pounds of banana taffy for $99. How much does the candy cost?
Answers
Answer:
Step-by-step explanation:
If we say s is the cost per pound of strawberry and b is banana.
For Annie we have 9s + 10b = 103.
For Rob we have 9s + 9b = 99.
If you notice the only thing that changes on the left hand sides is a single b. This causes a change of 4 on the right hand side. From this we can see that b = 4. Substituting b=4 in Annie's line we get 9s + 40 = 103 so 9s = 63 so s = 7.
Strawberry costs $7 per pound and banana costs $4 per pound
PLEASE HELP!!!! The circumference of a circle is 94.2 meters. Find the area of the circle.
Answers
Answer:
2827.43
I think this should be correct
Answer:
\(706.5\)
Step-by-step explanation:
The circumference can be rearranged to solve for r, or radius
C= 2πr ⇒ r=C/2π
\(\frac{94.2}{(2)(3.14)}=15\)
r=15
A= πr²
\(A=(3.14)(15)^{2}\)
\(A=(3.14)(225)\)
\(A=706.5\)
plz mark me brainliest. :)
Need help plz dont be wrong
Answers
Answer:
66
Step-by-step explanation:
Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?
Answers
Answer:
She sold $1,711 in make-up.
Step-by-step explanation:
She sold x.
For the first $500, she gets 18% = 0.18.
For the balance(x - 500), she gets 22% = 0.22.
So her total earnings can be modeled by the following equation:
\(E = 0.18*500 + 0.22*(x - 500)\)
\(E = 90 + 0.22*(x - 500)\)
She made $356.42 in commission. How much did she sell in make-up?
So
\(356.42 = 90 + 0.22*(x - 500)\)
\(90 + 0.22x - 110 = 356.42\)
\(0.22x = 356.42 + 20\)
\(x = \frac{376.42}{0.22}\)
\(x = 1711\)
She sold $1,711 in make-up.
what is 2x+60=180? what is the value of x?
Answers
Answer:
x=30
Step-by-step explanation:
2x+60=180
-60 -60
subtract on both sides
2x=60
---------
2
x=30
Answer:
x=60
Step-by-step explanation:
2x+60=180
subtract 60 from
both sides
that will be 2×=120 and divide by 2 both sides that will be ×=60
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is __
O 31.6% O 46.3% O 44.5% O43.6%
Answers
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.
The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:
Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)
where
P = Sample proportion
Q = 1 - P
n = Sample Size
Z Score is obtained from the Z-Table where the confidence level is given.
To obtain the upper limit, the following formula should be used:
Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)
Substitute the given values of the question into the formula:
P = 114/293 = 0.3891
Q = 1 - 0.3891 = 0.6109
n = 293
The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:
Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]
≈ 0.3891 + 1.645 x 0.0467
≈ 0.3891 + 0.07701
≈ 0.4661 = 46.3%
Therefore, the answer is 46.3%.
To know more about confidence interval visit:
https://brainly.com/question/32546207
#SPJ11
a Lauren had to have a concrete slab pictured to the right poured in her backyard. How many cubic feet of concrete were poured? 12 ft 10 ft 4 ft 5 ft 3 ft 93 cubic feet 162 cubic feet 300 cubic feet 7200 cubic feet
Answers
Answer:
320 ft^3
Step-by-step explanation:
I split the shape into 3 rectangular prisms. Two where 120ft^3 and one was 80 ft^3.
Adding them all together gave me 320ft^3. ( 80ft^3+ 120ft^3 + 120ft^3= 320ft^3)
Joan typed an entire page of her English essay. She is now at the bottom of her document and can't see the top. What should Joan use to see the top of the document?
Answers
Answer:
Her scroll wheel
Step-by-step explanation:
Hope this helped <3
Answer:
Scroll Bar
Step-by-step explanation:
Got this correct on the exam
What is the center and the radius of the circle: ( x - 2 ) 2 + ( y - 3 ) 2 = 9 ?
Answers
The center and radius of the circle (x-2)² + (y-3)² = 9 is (2,3) and 3 respectively
The general equation of a circle
(x - h)² + (y - k )² = r²
The general equation helps to find the coordinates of center and radius of circle.
Where (h, k) is the center of the circle
r is the radius of the circle
On comparing the general equation with the equation of circle
(x-2)² + (y-3)² = 9
h = 2 , k = 3
r² = 9
r = 3
so center of the circle = (2,3)
radius of circle = 3
To know more about center click here :
https://brainly.com/question/3077465
#SPJ1
The diameter of a circle is 8 yards. What is the circle's area?
Use 3.14 for I.
Answers
Answer:
50.24
Step-by-step explanation:
Formula for area of a circle A= πr^2
Since the diameter os 8 yards the radius is 4 yards (radius is half of diameter)
A = (3.14) 4^2
A = (3.14) 16
A = 50.24
:p
10 to the second power x 2 + 40 divided by 8
Answers
The value of 10 to the second power x 2 + 40 divided by 8 is 205.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information, the value will be:
= 10² × 2 + 40 / 8.
= 100 × 2 + 40 / 8
= 100 × 2 + 5
= 200 + 5
= 205
The value is 205.
Learn more about exponents on:
brainly.com/question/13669161
#SPJ1
1. Determine the following:
1.1. A car does a distance of 340 km for a consistent speed of 85 km/h. Hoy
long will it take the car to go the entire distance.
Answers
Answer:
v=d/t
v=340km/85km/h
v=4 km
I hope this helps you
pleas help a lot of points
Answers
Answer:
54 ft
Step-by-step explanation:
Add all the side lengths ; 18+18+18 = 54.
18+18+18=54
The points (9, c) and (4, 2) on a line with a slope of 1. What is the value of c
Answers
Answer:
-0.4
Step-by-step explanation:
Hope that helps .-.
solve for x
2x + 4 + 2x -9 + 8 = 180
Answers
Answer: Simplifying
2x + 4 + 2x + 8 + 2x + 8 = 180
Reorder the terms:
4 + 8 + 8 + 2x + 2x + 2x = 180
Combine like terms: 4 + 8 = 12
12 + 8 + 2x + 2x + 2x = 180
Combine like terms: 12 + 8 = 20
20 + 2x + 2x + 2x = 180
Combine like terms: 2x + 2x = 4x
20 + 4x + 2x = 180
Combine like terms: 4x + 2x = 6x
20 + 6x = 180
Solving
20 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 6x = 180 + -20
Combine like terms: 20 + -20 = 0
0 + 6x = 180 + -20
6x = 180 + -20
Combine like terms: 180 + -20 = 160
6x = 160
Divide each side by '6'.
x = 26.66666667
Simplifying
x = 26.66666667
Step-by-step explanation:
Answer: x=
44.25
Step-by-step explanation: (2x+2x)+(4+−9+8)=180 4x+3−3=180−3 4x/4=177/4 x=44.25
Please help giving up 20 points for answers
Answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation: